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12435112530 = 2325716592953
BaseRepresentation
bin10111001010011000…
…01100001001010010
31012002121212011112100
423211030030021102
5200431342100110
65413531341230
7620103466251
oct134514141122
935077764470
1012435112530
11530132a105
1224b05b1816
13123234b169
1485d722798
154cba6cbc0
hex2e530c252

12435112530 has 96 divisors (see below), whose sum is σ = 32847534720. Its totient is φ = 3263258880.

The previous prime is 12435112493. The next prime is 12435112537. The reversal of 12435112530 is 3521153421.

12435112530 is a `hidden beast` number, since 12 + 4 + 3 + 5 + 112 + 530 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12435112494 and 12435112503.

It is not an unprimeable number, because it can be changed into a prime (12435112537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4209534 + ... + 4212486.

It is an arithmetic number, because the mean of its divisors is an integer number (342161820).

Almost surely, 212435112530 is an apocalyptic number.

12435112530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12435112530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16423767360).

12435112530 is an abundant number, since it is smaller than the sum of its proper divisors (20412422190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12435112530 is a wasteful number, since it uses less digits than its factorization.

12435112530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12435112530 its reverse (3521153421), we get a palindrome (15956265951).

The spelling of 12435112530 in words is "twelve billion, four hundred thirty-five million, one hundred twelve thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 659 710 1065 1278 1318 1977 2130 2953 3195 3295 3954 5906 5931 6390 6590 8859 9885 11862 14765 17718 19770 26577 29530 29655 44295 46789 53154 59310 88590 93578 132885 140367 209663 233945 265770 280734 419326 421101 467890 628989 701835 842202 1048315 1257978 1403670 1886967 1946027 2096630 2105505 3144945 3773934 3892054 4211010 5838081 6289890 9434835 9730135 11676162 17514243 18869670 19460270 29190405 35028486 58380810 87571215 138167917 175142430 276335834 414503751 690839585 829007502 1243511253 1381679170 2072518755 2487022506 4145037510 6217556265 12435112530